A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.

Question

kainui · Answer

I suggest drawing it out and dividing it into right triangles and making up some trigonometric equations relating everything together. From there I can help you along.

anonymous · Answer

ratios for a 30 - 60 - 90 triangle are $1:\sqrt{3}:2$ for short leg: long leg: hypotenuse

kainui · Answer

Yeah actually that's much better advice. I wasn't thinking this was a simple right-triangle already. But definitely draw it out!

anonymous · Answer

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anonymous · Answer

there is no actual question above, but i assume it is to find the lengths of one of the other sides

anonymous · Answer

of course it may be to find the area, which we can also do.
what was the actual question?

anonymous · Answer

these are my options 

 
a. Find the length of the side of the lot opposite the 60° angle.
 
b. Find the length of the hypotenuse of the triangular lot.
 
c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places.